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by RiyaR » Sun Oct 05, 2014 3:53 am
How many integers are there less than 10,000 in which the sum of the digits is equal to 5?

A)31
B) 51
C) 56
D) 62
E) 93
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by GMATGuruNY » Sun Oct 05, 2014 4:03 am
I posted a solution here:

https://www.beatthegmat.com/experts-any- ... tml#362267

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by Brent@GMATPrepNow » Sun Oct 05, 2014 7:01 am
RiyaR wrote:How many integers are there less than 10,000 in which the sum of the digits is equal to 5?

A)31
B) 51
C) 56
D) 62
E) 93
I'd say that this question is either beyond the scope of the GMAT, or somewhere in the 750+ range.
Here's my solution:
Image


We can extend this solution and conclude that the number of integers less than 1,000,000 in which the sum of the digits equals 8 will be 13C5

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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